the graph shows the proportional relationship. derive the equation of the line y = mx through the origin.
Since the graph represents a proportional relationship, we know that the slope of the line is constant. In a proportional relationship, the ratio of y to x is constant. Therefore, we can write the equation of the line as:
y = mx
where m is the slope of the line.
Since the line passes through the origin, the y-intercept is 0. Therefore, the equation of the line passing through the origin is simply y = mx, where m is the slope of the line.